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Finding the Fourth Proportional to 261,946.81, 392,909.27 and 74,958.31

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Solution

The fourth proportional to 261,946.81, 392,909.27 and 74,958.31 is: 112,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,946.81 : 392,909.27 = 74,958.31 : x
  2. Step 2: Convert to fraction form
    261,946.81/392,909.27 = 74,958.31/x
  3. Step 3: Cross multiply
    261,946.81x = 392,909.27 × 74,958.31
  4. Step 4: Simplify right side
    261,946.81x = 29,451,814,978.88
  5. Step 5: Solve for x
    x = 29,451,814,978.88/261,946.81
  6. Step 6: Final answer
    x = 112,434.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.